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 Jul2 awarded Curious Apr29 awarded Yearling Oct4 comment A question about a trace operator (is this right?) Hmm, according to Evans I should take $C^0$ instead. I didn't think then that intersection space would be dense.. Oct3 asked A question about a trace operator (is this right?) Oct3 asked The constant in the Sobolev trace theorem inequality Oct1 comment Why is this space dense in this Sobolev space? (Bochner spaces) Thanks man let me read and understand it.. Oct1 revised Why is this space dense in this Sobolev space? (Bochner spaces) added 105 characters in body Oct1 comment Why is this space dense in this Sobolev space? (Bochner spaces) @Tomás Cool down I was just about to include it!! Oct1 revised Existence results for this ODE? (periodic) added 24 characters in body Oct1 asked Existence results for this ODE? (periodic) Sep30 comment Why is this space dense in this Sobolev space? (Bochner spaces) @Tomás Recall that $W^1 \subset C([0,T];H)$ by Sobolev embedding, where $V \subset H \subset V^*$ is Gelfand triple. I should've included that. This problem is in the book by Roubicek's Nonlinear PDEs swith Applications, page 264 (see footnotes). Sep30 accepted How to show this $H^1$ space is separable? Sep30 comment Why is this space dense in this Sobolev space? (Bochner spaces) @Etienne $u$ has weak derivative $u' \in L^2(0,T;V^*)$ if $\int_0^T u(t)\varphi'(t) = -\int_0^T u'(t)\varphi(t)$ holds for all $\varphi \in C_c^\infty(0,T).$ Sep30 comment Is $L^2(0,T;V_f) \subset L^2(0,T;V)$ closed if $V_f \subset V$? @Norbert So the subspace is also a banach space. Do you know if there is an easier way to see this other than "closed subspace of Banach space is Banach"? Sep30 asked Why is this space dense in this Sobolev space? (Bochner spaces) Sep30 asked How to show this $H^1$ space is separable? Sep26 comment Definition of global weak solution to PDE Oh I see. I didn't think of that.. Sep26 comment Definition of global weak solution to PDE @Tomás So one should use test functions $\varphi \in C_c^\infty(0,T)$ for every $T > 0$ is what you mean I suppose. Sep26 asked ODE with periodic initial/end condition Sep26 asked Definition of global weak solution to PDE